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REFLECTIONS, ROTATIONS AND TRANSLATIONS. Reflections.

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Presentation on theme: "REFLECTIONS, ROTATIONS AND TRANSLATIONS. Reflections."— Presentation transcript:

1 REFLECTIONS, ROTATIONS AND TRANSLATIONS

2 Reflections

3 OBJECT IMAGE Reflect the triangle in the mirror line. The line joining a point to its image is always at right angles to the mirror line.

4 OBJECT IMAGE Reflect the shape in the mirror line. The line joining a point to its image is always at right angles to the mirror line.

5 OBJECT IMAGE Reflect the shape in the line y = 5. First draw the mirror line. y x 2 2 4 4 6 6 0 0 8 8 10

6 Rotations

7 Rotate the triangle 90 o clockwise about the given point.

8 Use tracing paper for rotations.

9 Rotate the triangle 90 o clockwise about the given point. Object Image

10 Rotate the triangle 180 o about the given point.

11 Use tracing paper for rotations.

12 Rotate the triangle 180 o about the given point. Object Image

13 Translations

14 A translation is a transformation that ‘slides’ a shape from one place to another. IMAGE OBJECT In a translation each point on the original shape moves the same distance and in the same direction. This is a translation of. The top number is the movement in the x direction. positivenegative The bottom number is the movement in the y direction. positive negative 4 5

15 IMAGE Translate the shape by the vector. OBJECT 3 2

16 IMAGE Translate the shape by the vector. OBJECT 4 2

17 IMAGE Translate the shape by the vector. OBJECT 3 1

18 IMAGE Translate the shape by the vector. OBJECT 4 1


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